4965840 has 240 divisors, whose sum is σ = 19790400. Its totient is φ = 1140480.

The previous prime is 4965833. The next prime is 4965841. The reversal of 4965840 is 485694.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4965795 and 4965804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261351 + ... + 261369.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 2^4965840 is an apocalyptic number.

4965840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895200).

4965840 is an abundant number, since it is smaller than the sum of its proper divisors (14824560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4965840 is a wasteful number, since it uses less digits than its factorization.

4965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4965840 is about 2228.4164781297. The cubic root of 4965840 is about 170.6072859282.

It can be divided in two parts, 496 and 5840, that added together give a palindrome (6336).

The spelling of 4965840 in words is "four million, nine hundred sixty-five thousand, eight hundred forty".